Addition Definition and 651 Threads

The magnitude of vector A is 35.1 units and points in the direction 301° counterclockwise from the positive x-axis. Calculate the x-component of this vector. So...35.1=sqrt(vx^2 + vy^2) and 301°= vy/vx How do I do this?

Vector A has a magnitude of 7.90 units and makes an angle of 43.0° counter-clockwise from the positive x-axis. Vector B has a magnitude of 8.00 units and is directed along the negative x-axis. (a) Find the vector sum vector A + vector B . Magnitude of vector A + vector B = ? units Direction...

Homework Statement the set R^(2) with the usual vector addition forms an abelian group. For a belongs to R and x=(x1,x2) belongs to R^(2) we put a *x :=(ax1,0),this defines a scalar multiplication R*R^2 ---R^2 (a,x)---a*x. determine which of the axioms defining a vector space hold for the...

Homework Statement I just wanted to know if I wrote the answer with the correct number of significant figures for this addition problem. 0.00015 M + 0.00004 M + 0.00011 M = 0.00030 M (Correct?) Homework Equations See above. 0.00015 M + 0.00004 M + 0.00011 M = ? The...

This should be simple, I've already solved several problems just like this one but it won't come out right however i try... apologies in advance for non-native english. Homework Statement In a 3-dimensional coordinate system, a hook is placed in A=(0,0,3). Two lines connect the hook down to...

Homework Statement Consider 1L of a solution that is 0.100 M in acetic acid and 0.100 M in sodium acetate. What will the pH be, when 0.0900 mol of sodium acetate are added? Ignore changes in volume. acetic acid pka = 1.75 E-5 Homework Equations HA --> H+ + A- pH=pka +log A-/HA...

Additive velocities. If a car is traveling down a road at velocitiy u wrt the road and fires bullets in the forward and backward directions relative to the direction of travel at velocities v and -v respectively wrt the car,, then it is self evident that as measured in the coordinates of...

I know about the addition of velocities for SR v = (v1+v2)/(1-v1*v2/c^2). This equations is derived using Lorentz transformations. How do I derive the addition of velocity formula for particles in a non-inertial frame? Can I just add gammas? u = (u1+u2)/(1-u1*u2/u0^2) where u1 = gamma*v1 u2 =...

What exactly is the "addition of subspaces?" It is obviously not the same as the "union of subspaces," since the union of subspaces A and B in V is a subspace of V only if A is contained in B (or B is contained in A).

Homework Statement Two forces are acting on a mass. One of the forces is a 40.0 N force and the other force is 30.0 N at the angles shown below: The magnitude of the force is: a) 15.3 N b) 15.6 N <-- correct answer c) 46.6 N d) 69.0 N Homework Equations Pythagorean Therom...

Hey guys. Long time lurker, first time poster. My teacher gave us this little problem a while ago to work on kind of as a brain teaser. He wanted the proof. I have never been too good a proofs so I never did it. I was going through my notebook and decided to see if you guys could help me, or...

I'm trying to do my physics homework but I am just not understanding this section on vectors. I don't even know where to begin or what equations to use. Any help would be greatly appreciated! a) On a rainy day, raindrops fall with a vertical velocity of 9.2 m/s. If a car drives through the...

hi everybody. \textbf{J}_1 and \textbf{J}_2 are angular momentum (vector-)operators. In many textbooks \left[\textbf{J}_1,\textbf{J}_2\right] = 0 is stated to be a condition to show that \textbf{J}=\textbf{J}_1+\textbf{J}_2 is also an angular momentum (vector-)operator. But what is meant...

Suppose I have 2 streams of water (say like 2 garden houses) side by side. If they are both shooting out at a certain pressure say 20 PSI and, they cross paths at 45 degrees (i.e left stream points 45degree to right and right stream points 45 to left). can the pressure or force of the combined...

One can look into any precalculus book and find a proof of the addition formulas of sine and cosine. Though as most are aware there is a quick way to get the formulas by using Euler's Formula. But to get the formulas by eulers formula, you must equate coefficients with respect to the imaginary...

What does it means by closed under addition For eg : As S is closed under addition S = {gn : n is a member of integers} could anyone elaborate more on this and gimme some example ? Does it mean that when something is closed under addition , we only consider addition and nothing else ?

HELP ! this problem is very very confusing T_T Three forces, each of which is perpendicular to the other two, act on an object. If the magnitudes of these forces are 6 N, 15 N, and 10 N, respectively, find the magnitude and direction of the resultant. (State the angles that the resultant...

I really need to prove eq. 10.1.45 and 10.1.46 of Abramowitz and Stegun Handbook on Mathematical functions. Is an expansion of e^(aR)/R in terms of Special Functions! Any help will be appreciated.

from where do chlorine monoxides form? I'm asking this because I'm just wondering if there is a way to direct all the oxygen radicals on its way to react with ozone to a whole bunch of chlorine monoxides to form oxygen gas. Is that possible or what? I'm a guy who likes to teach.

I've been trying to derive the velocity addition rule for vectors. For the moment I'm just considering 2 spatial dimensions. The results I'm getting look rather nasty. For example, I got w_x=\frac{u_x+v_x+\frac{u_y}{u^2}(u_xv_y-u_yv_x)(1-\frac 1 \gamma)}{1+u_xv_x+u_yv_y} Does anyone have the...

Homework Statement Graphically add the following sets of vectors. (There is a group of 6 vectors labeled A-F. They have an assigned value and are at different angles, but the angle is not given) Homework Equations None? The Attempt at a Solution So my problem here is this. The...

Homework Statement An electron moves to the right with a speed of 0.90c relative to the laboratory frame. A proton moves to the left with a speed of 0.70c relative to the electron. Find the speed of the proton relative to the laboratory frame. Homework Equations Vx'=[Vx-V]/[1+(v2/c2)*Vx]...

Homework Statement Show the complete mechanism for the electrophilic addition reaction of toluene and bromine, isopropylbenzene and bromine. Draw the structure of the intermediate hydrocarbon. Homework Equations None The Attempt at a Solution I am having a really hard time with...

Homework Statement OCl- is reacted with I- in acidic solution to generate I2. The I2 generated is then titrated using a solution of Na2S2O3. If you look at the sum of the two reactions above, information about S2O3- can be used to determine the amount of I2 and thus the amount of ClO-...

Homework Statement Add the formulas y1 = 5.2 sin(ωt), y2 = 8.3 sin(ωt+30°), y3 = 15.5 sin(ωt+60°) using the phasor method. Your formula should only have numbers and the variables ω and t. The formula must be accurate for any value of those variables Homework Equations Not sure...

Homework Statement You have a vector, labelled A, with the coordinates (2,1,1). Subtract vector B, coordinates (3,-1,4) from vector A. Homework Equations Take vector A, and flip vector B in the opposite direction. Line up vector B's tip to vector A's tail, and draw the new vector from...

I know this must be an easy question, but I can't seem to remember how to do it: \sqrt{z^2+R^2 - 2zR} - \sqrt{z^2+R^2 + 2zR} Can someone go through step by step how to solve this? This isn't a homework question but I've been running into this problem more often in multiple courses. So far...

The Problem: A car is driven 175 km west and then 80 km southwest (45°). What is the displacement of the car from the point of origin (magnitude and direction)? I have drawn myself a diagram, and I know you need to use the angles to help decide how much displacement, but I don't know how to...

Hi. I would appreciate some help with this point charge problem. I think I understand the general set up, but don't know where to go from there. Homework Statement Two point charges are placed on the x-axis as follows: Charge q1 = +4.00nC is at x=0.400m, and charge q2 = +2.00nC is at...

Vplane = 63km/hr at x degrees and direction Vwind = 47km/hr at 211 degrees Vg = unknown speed at 165 degrees find the unknowns my attempt using component method: (Cos 165)Vg = (Cos 211)47 + (Cos theta)63 (Sin 165)Vg = (Sin 211)47 + (Sin theta)63 from here i think I am supposed...

The velocity vector V1 has a magnitude of 4m/s and is directed along the +x-axis. The velocity vector V2 has a magnitude of 3m/s. The sum of the two is V3, so that V3 = V1+V2 (For each statement select T-True, or F-False; If the first is True and the rest F, enter TFFFFF). A) The magnitude...

1. A grasshopper makes four jumps. THe siplacement vectors are (1) 27 cm, due west; (2) 23 cm, 35 degrees south of west; (3) 28 cm, 55 degrees south of east; and (4) 35 cm, 63 degrees north of east. Find the magnitude and direction of the resultant displacement. Express the direction with...

Homework Statement A well-insulated closed tank is of volume 70 m^3. Initially, it contains 25000 kg of water distributed between liquid and vapor phases at 30 deg C. Saturated steam at 11 bar is admitted to the tank until pressure reaches 7 bar. What mass of steam is added? Homework...

I have two rockets, one in point A and another in point B, I'm going to crash one against the other, twice, and I will be observing safely from my laboratory at C, which is right in the middle between A and B. The first time the experiment takes place, I see both rockets rushing forward to...

Homework Statement Determine the vector that must be added to the sum of A + B in the given attachment to give a resultant displacement of (a) O and (b) 4.0 km [W]. In case anyone can't view the attachment, |A| is 5.1 km in length, 38 degrees N of E, and |B| is 6.8 km in length, 19 degrees E...

A car is driven 215 km west and then 85 km southwest. What is the displacement of the car from the point of origin? Shouldn't I be given an angle. Because it could be southwest at any angle. How would I do this? Thanks for the help.

My question is about vector addition in cylindrical coordinates: Let A = 2x + y, B = x + 2y. In rectangular coordinates, AB = B-A = -x+y In cylindrical coordinates, x=rcosθ + θsinθ, y=rsinθ + θcosθ A =Axx + Ayy, B =Bxx + Byy Ar = Ax(x.r) + Bx(y.r)=2.236, Aθ = 0. So A = 2.236r Br =...

My question is about vector addition in cylindrical coordinates: Let A = 2x + y, B = x + 2y. In rectangular coordinates, AB = B-A = -x+y In cylindrical coordinates, x=rcosθ + θsinθ, y=rsinθ + θcosθ A =Axx + Ayy, B =Bxx + Byy Ar = Ax(x.r) + Bx(y.r)=2.236, Aθ = 0. So A = 2.236r Br...

Homework Statement I'm having trouble with a word problem involving the parallelogram law of vector addition. The problem reads as follows: Two forces with magnitudes 8N and 11N act on a large object. The angle between the forces is 30 degrees. a) Draw a diagram to represent the combined...

We all know that hydroxide will never be a leaving group in an SN2 reaction, no matter how strong the nucleophile. Yet an intermediate containing R-O- is created when a nucleophile adds to a carbonyl compound. It looks sort of like a leaving group, but it's still attatched to the molecule...

At the very beginning of my Analysis book, the axioms for the real number system are given, beginning with the addition axioms. The sum of x and y is commutative, and associative. There exists a zero identity element, but it isn't claimed to be unique. And there exists a negative element, so the...

At the very beginning of my Analysis book, the axioms for the real number system are given, beginning with the addition axioms. The sum of x and y is commutative, and associative. There exists a zero identity element, but it isn't claimed to be unique. And there exists a negative element, so the...

I need to figure out an equation that shows the relationship between the force constants of two springs that are connected together. I know that the 1/ktot = 1/k1 + 1/k2 but I have to shows all the steps to obtain this equation... I know that F = k1x1 = k2x2 = k(x1 + x2) I tried...

Hi everyone, first post so go easy :) What I want to do is design a circuit to add two square wave frequencies into one output. The use is for a vehicle fitted with a Karman Vortex mass airflow sensor. The MAF sensor has a 5V square wave output of 0~150Hz. The vehicle has been modified...

The question states, "Prove the identity." (1) cos(x + y) cos(x-y) = cos(^2)x – sin(^2)y. Should i start off using the addition and subtraction formulas for the LHS, and breaking down the perfect square for the RHS? If not or if so, how would I go about solving this problem? Step by step...

hi i know how to add 90degree phase shifts but i can't remember how to add two simple waveforms... i need to express v1 + v2 if; v1 = 96sin(120\Pit+ \pi/6) v2 = 90sin(120\Pit-\pi/3) can anyone help please!?

[SOLVED] Vector Addition Homework Statement Find the angle between two vector forces of equal magnitude, such that the resultant is one-third as much as either of the original forces.Homework Equations Pythagorean Theorom, I assumeThe Attempt at a Solution This is from Schaum's 3000 Problems...

Homework Statement Does anyone know a generic way of showing that a field is closed under multiplication and addition? Please, thanks Homework Equations The Attempt at a Solution Just need to prove that a+b and ab are in the field that each element a and b are from. Any ideas??

I got a problem on a homework but the wording is kind of confusing and i don't know how to place it down on paper in a way that i can solve it...thanks for all the help..it looks basic, I find the Problem in weather its B+C=7i+5j or B+C=C being b+(7i+5j)=C 1: A vector, B, when added to the...

I understand entropy is a state function, insofar as we deny the existence of irreversible cycles. However, for a said change of state, the heat transferred as a result of a reversible change is greater than that for an irreversible change. This is simply a reiteration of the Clausius...